Abstract
In this section and in the later ones we shall discuss the application of the theory of convex bodies to the theory of numbers. The connexion with the theory of numbers will be found in the study of points all of whose coordinates are integers. These points will be called integral points or g-points. The set of all g-points will be called a lattice. [See also § 5.] The following theorem about lattice points and convex bodies was proved by Minkowski.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Siegel, C.L., Chandrasekharan, K. (1989). Lecture II. In: Lectures on the Geometry of Numbers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-08287-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-08287-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08076-0
Online ISBN: 978-3-662-08287-4
eBook Packages: Springer Book Archive